2009 Fiscal Year Final Research Report
An analysis of open quantum systems with interactions and its application to the theory of electron conduction
| Project/Area Number |
20740217
|
|---|
| Research Category |
Grant-in-Aid for Young Scientists (B)
|
| Allocation Type | Single-year Grants |
|---|
| Research Field |
Mathematical physics/Fundamental condensed matter physics
|
|---|
| Research Institution | The University of Tokyo |
|---|
Principal Investigator |
NISHINO Akinori The University of Tokyo, 生産技術研究所, 助教 (00466848)
|
|---|
| Project Period (FY) |
2008 – 2009
|
| Keywords | メゾスコピック系 / 開放量子系 / 量子ドット / 電子間相互作用 / 散乱状態 / 厳密解 / 非平衡電流 / エンタングルメント |
|---|
| Research Abstract |
We studied interacting open quantum dot systems through an exact solution of many-electron scattering eigenstates. First, we investigated the electron transport property of an open quantum dot system described by the two-lead interacting resonant-level model. The exact many-electron scattering states that we constructed are not in the form of the known Bethe eigenstates in the sense that the wave-number set of the incident plane wave is not conserved during the scattering and many-body bound states appear after the scattering. By applying the scattering states to an extension of the Landauer formula, we calculated the average electric current through the quantum dot under a finite bias voltage. The current-voltage characteristics that we obtained by taking the two-body bound state into account qualitatively agrees with several known results. Next, we theoretically proposed entanglement generation through an open quantum dot system described by the two-lead Anderson model. We exactly obtained the transition rate between the non-entangled incident state in one lead and the outgoing spin-singlet state in the other lead. We found that only the spin-singlet state can transmit in a cotunneling scattering process.
|
